Solve for x. 2x−45=x+4 Enter your answer in the box. x =

What is the following product?

-Dominant- [34]

Answer:

98 - 40√6

Step-by-step explanation:

We have to simplify the following product :

$(5\sqrt{2} - 4\sqrt{3})(5\sqrt{2} - 4\sqrt{3})$ .

Now, $(5\sqrt{2} - 4\sqrt{3})(5\sqrt{2} - 4\sqrt{3})$

= $(5\sqrt{2} - 4\sqrt{3})^{2}$

= $(5\sqrt{2})^{2} - 2 (5\sqrt{2}) (4\sqrt{3}) + (4\sqrt{3} )^{2}$

{Since we know the identity (a - b)² = a² - 2ab + b² }

= 50 - 40√6 + 48

= 98 - 40√6 (Answer)

6 0

3 years ago

Read 2 more answers

Use the integer tiles to evaluate the following expressions. 6 + 3 = 6 + (–4) = 6 + (–6) =

babunello [35]

Given:

The expressions are:

$6+3$

$6+(-4)$

$6+(-6)$

To find:

The value of given expression by using integer tiles.

Solution:

We have,

$6+3$

Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,

$6+3=9$

Similarly,

$6+(-4)$

Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,

$6+(-4)=2$

$6+(-6)$

Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,

$6+(-6)=0$

Therefore, $6+3=9, 6+(-4)=2,6+(-6)=0$ .

8 0

2 years ago

What is 7/24 by 35/38

Monica [59]

If you would like to divide 7/24 by 35/38, you can calculate this using the following steps:

7/24 / 35/38 = 7/24 * 38/35 = (7 * 38) / (24 * 35) = 19/60

The correct result would be 19/60.

7 0

3 years ago

Someone please help me out with these questions . I don’t get them at all.

iVinArrow [24]

Answer:

a)similar; b)similar; c)similar; d)NOT similar

Step-by-step explanation:

>In general if

all corresponding angels are ≅, and

all corresponding sides are in proportion

then the Δs are similar

>we have 3 similarity theorems AA, SSS, and SAS

a)

we can use that sum of angles in a triangle is 180 to find the missing angles

180-96-32 = 52

so in the smaller triangle the angles are 96°-52°-32°

in the larger triangle the angles given are 52°-32°

Since there are 2 corresponding angles congruent, AA theorem of similarity says that the 2 triangles are similar. The transformations were that the big triangle was shrunk and rotated

b)

here we are given a pair of congruent angles and we need to check if the sides are in proportion, is 14/44.8 equal to 20/64?

14/44.8 =.3125 is equal to 20/64=.3125

since we have two corresponding sides in proportion and the angles in between them congruent the SAS theorem says that the 2 triangles are similar. The transformation was that the small triangle was dilated.

c)

because we are given the 2 angles are congruent we can conclude that the lines NH and SL are parallel. NH║SL let us conclude that ∡H and ∡ L are congruent because 2 parallel lines cut by a transversal (ML in our case) form congruent angles. So ΔMNH is similar to ΔMSL because of AA theorem of similarity (one pair of A was given congruent, one other pair of A we concluded was congruent)

d)

here we have to check if all the sides are in proportion to see if SSS theorem of similarity applies here

18/90 = .2

44/202.4≈.22

58.5/211.2≈.28

.2≠ .22 ≠ .28

since the sides are not in proportion the 2 triangles are NOT similar.

4 0

3 years ago

Notes on isosceles triangles, base angles and notes on the diagonals thanks :D

rjkz [21]

Hey,
In isosceles triangles there r two equal sides .
Base angles is usually used for isosceles triangles ....
Diagonals are two lines which intersect each other...

8 0

3 years ago